Answer:
Step-by-step explanation:
we know that
The compound interest formula for this problem is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods in years
in this problem we have
substitute in the formula above
A. When you add to negative numbers, it is always negative. A positive + a positive is positive. In D, the answer is always 0. 1 + -1 is 0. In C, it varies. The bigger number not including the negative sign is the sign the number has. For example, -6 + 5 = -1. 6 is bigger than 5. You subtract the smaller number from the bigger number and that is the answer. You would then tack on the negative sign because it is -6, and 6 is bigger than 5.
Answer:
y = -x -2
Step-by-step explanation:
Answer:
a. 
b. 
Step-by-step explanation:
First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

The rate is negative as it represents the amount of caffeine leaving the body at certain time.
Answer:
Step-by-step explanation:
A. If children are considered people under the age of 18, then the answer would be
13 < a < 18 where the a represents age, where the inequality signs do not have an equals to because those ages are excluded
B. This inequality can be shown on a number line with open circles denoting the endpoints 13 and 18 as they are not included, and a line connecting these two points which represents the ages encompassed by the range